Question

Simplify.
(3x^3 - 7x^2 + 12) - (3x^3 + 6x^2 + 10x)
A) -x^2 + 10x + 12
B) -13x^2 - 10x + 12
C) -6x^3 + x^2 - 10x - 12
D) -9x^6 - 42x^4 - 10x + 12

Answer 1

oh Let's simplify step-by-step.
3x3−7x2+12−(3x3+6x2+10x)
Distribute the Negative Sign:
=3x3−7x2+12+−1(3x3+6x2+10x)
=3x3+−7x2+12+−1(3x3)+−1(6x2)+−1(10x)
=3x3+−7x2+12+−3x3+−6x2+−10x
Combine Like Terms:
=3x3+−7x2+12+−3x3+−6x2+−10x
=(3x3+−3x3)+(−7x2+−6x2)+(−10x)+(12)
=−13x2+−10x+12
Answer:
=−13x2−10x+12

Answer 2

Why is there a negative 1 being distributed?